Finding the Third Proportional to 11,623.50 and 17,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,623.50 : 17,544.50 = 17,544.50 : x
2. Step 2: Convert to fraction form
   11,623.50/17,544.50 = 17,544.50/x
3. Step 3: Cross multiply
   11,623.50x = 17,544.50 × 17,544.50
4. Step 4: Simplify right side
   11,623.50x = 307,809,480.25
5. Step 5: Solve for x
   x = 307,809,480.25/11,623.50
6. Step 6: Final answer
   x = 26,481.65